`CH_(2)=CH_(2)+H_(2)overset(Pt, T_(1)K)rarrC_(2)H_(6)`
`CH_(2)=CH_(2)+H_(2)overset(Ni,T_(2)K)rarr C_(2)H_(6)`
The correct relation among the following is

Options

A. `T_(1) gt T_(2)`
B. `T_(2) gt T_(1)`
C. `T=T_(2)`
D. `T_(1) gt 2T_(2)`

Explanation

To solve the question regarding the hydrogenation of ethene (C2H4) using different catalysts (Platinum and Nickel), we need to analyze the reactions and the conditions under which they occur.

### Step-by-Step Solution:

1. **Identify the Reactions**:
- The first reaction is:
\[ \text{C}_2\text{H}_4 + \text{H}_2 \overset{\text{Pt}, T_1}{\rightarrow} \text{C}_2\text{H}_6 \]
- The second reaction is:
\[ \text{C}_2\text{H}_4 + \text{H}_2 \overset{\text{Ni}, T_2}{\rightarrow} \text{C}_2\text{H}_6 \]

2. **Understand the Role of Catalysts**:
- Platinum (Pt) is a noble metal and is known to be a very effective catalyst for hydrogenation reactions.
- Nickel (Ni) is also a catalyst but is generally less effective than platinum for the same reactions.

3. **Effect of Temperature on Reaction**:
- The effectiveness of a catalyst can depend on the temperature. A stronger catalyst (like Pt) may require a lower temperature to achieve the same rate of reaction compared to a weaker catalyst (like Ni).
- Since Pt is a stronger reducing agent, it can facilitate the reaction at a lower temperature (T1).

4. **Comparing T1 and T2**:
- Because platinum is more effective, the reaction can proceed at a lower temperature (T1) compared to nickel (T2).
- Therefore, we can conclude that:
\[ T_2 > T_1 \]

5. **Conclusion**:
- The correct relation among the temperatures is:
\[ T_2 > T_1 \]